plot the pole-zero plot, the unit impulse response, and the unit step response for a given transfer function in matlab

To plot the pole-zero plot, unit impulse response, and unit step response for a given transfer function in MATLAB, you can follow these steps:

1. Define the transfer function using the tf function in MATLAB. The general syntax is:

main.m
sys = tf(num, den)
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where num specifies the numerator coefficients and den specifies the denominator coefficients of the transfer function.

2. Plot the pole-zero plot using the pzmap function. This function returns the poles and zeros of the transfer function and plots them on a complex plane. The syntax is:

main.m
pzmap(sys)
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3. Plot the unit impulse response using the impulse function. This function generates the time response of the system to a unit impulse input. The syntax is:

main.m
impulse(sys)
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4. Plot the unit step response using the step function. This function generates the time response of the system to a unit step input. The syntax is:

main.m
step(sys)
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Here's an example that demonstrates these steps:

main.m
% Define the transfer function
num = [1];
den = [1 1 2];
sys = tf(num, den);

% Plot the pole-zero plot
figure;
pzmap(sys);
title('Pole-Zero Plot');

% Plot the unit impulse response
figure;
impulse(sys);
title('Unit Impulse Response');

% Plot the unit step response
figure;
step(sys);
title('Unit Step Response');
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Make sure you replace the numerator and denominator coefficients with the correct values of your transfer function.